Results 11 to 20 of about 68,056 (301)

C-Ideals of Lie Algebras [PDF]

Communications in Algebra, 2009
A subalgebra B of a Lie algebra L is called a c-ideal of L if there is an ideal C of L such that L = B + C and B \cap C \leq B_L, where B_L is the largest ideal of $L$ contained in B. This is analogous to the concept of c-normal subgroup, which has been studied by a number of authors.
David A Towers
exaly   +5 more sources

3-Lie algebras with an ideal N

Linear Algebra and Its Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yao-Zhong Zhang
exaly   +5 more sources

C#-IDEALS OF LIE ALGEBRAS [PDF]

Journal of Algebraic Systems, 2021
Let $L$ be a finite dimensional Lie algebra. A subalgebra $H$ of $L$ is called a $c^{\#}$-ideal of $L$, if there is an ideal $K$ of $L$ with $L=H+K$ and $H\cap K$ is a $CAP$-subalgebra of $L$.
L. Goudarzi
doaj   +3 more sources

Lie Structures and Chain Ideal Lattices

Bulletin of the Brazilian Mathematical Society, New Series, 2023
AbstractThe purpose of this paper is twofold. Firstly, to emphasise that the class of Lie algebras with chain lattices of ideals are elementary blocks in the embedding or decomposition of Lie algebras with finite lattice of ideals. Secondly, to show that the number of Lie algebras of this class is large and they support other types of Lie structures ...
Pilar Benito, Jorge Roldán-López
openaire   +5 more sources

Fuzzy Hom–Lie Ideals of Hom–Lie Algebras

Axioms, 2023
In the given study, we intended to gain familiarity with the idea of fuzzy Hom–Lie subalgebras (ideals) of Hom–Lie algebras. It primarily seeks to study a few of their properties.
Shadi Shaqaqha
doaj   +3 more sources

On Skew Left n-Derivations with Lie Ideal Structure

مجلة بغداد للعلوم, 2019
In this paper the centralizing and commuting concerning skew left -derivations and skew left -derivations associated with antiautomorphism on prime and semiprime rings were studied and  the commutativity of Lie ideal under certain conditions were proved.
Faraj et al.
doaj   +3 more sources

Lie Supergroups Obtained from 3-Dimensional Lie Superalgebras Associated to the Adjoint Representation and Having a 2-Dimensional Derived Ideal

International Journal of Mathematics and Mathematical Sciences, 2008
We give the explicit multiplication law of the Lie supergroups for which the base manifold is a 3-dimensional Lie group and whose underlying Lie superalgebra g=g0⊕g1 which satisfies g1=g0, g0 acts on g1 via the adjoint representation and g0 has a 2 ...
I. Hernández, R. Peniche
doaj   +2 more sources

The Lattice of Ideals of a Lie Algebra

Journal of Algebra, 1995
In this paper the Lie algebras in which the lattice formed by the ideals is complemented or complemented and distributive are classified. Moreover, it is shown that the derived algebra (arbitrary characteristic) and the solvable radical (characteristic zero) can be characterized in terms of the ideal lattice structure.
Pilar Benito Clavijo, M. [0000-0001-8122-6359], Clavijo, M.P.B.   +1 more
openaire   +4 more sources

Quadripartitioned neutrosophic pythagorean lie subalgebra [PDF]

Journal of Fuzzy Extension and Applications, 2021
A Quadripartitioned Neutrosophic Pythagorean (QNP) set is a powerful general format framework that generalizes the concept of Quadripartitioned Neutrosophic Sets and Neutrosophic Pythagorean Sets.
R. Radha, A.Stanis Arul Mary
doaj   +1 more source

Lie-Algebra of Single-Valued Pentapartitioned Neutrosophic Set [PDF]

Neutrosophic Sets and Systems, 2022
In this article, we procure the concept of single-valued pentapartitioned neutrosophic Lie (in short SVPN-Lie) algebra under single-valued pentapartitioned neutrosophic set (in short SVPN-set) environment.
Suman Das, Rakhal Das, Bimal Shil, Binod Chandra Tripathy   +3 more
doaj   +1 more source